Atkin-Lehner |
3- 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
43575s |
Isogeny class |
Conductor |
43575 |
Conductor |
∏ cp |
154 |
Product of Tamagawa factors cp |
deg |
394240 |
Modular degree for the optimal curve |
Δ |
-1513589782642875 = -1 · 311 · 53 · 77 · 83 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- -6 -4 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2668,1871674] |
[a1,a2,a3,a4,a6] |
Generators |
[68:-1418:1] |
Generators of the group modulo torsion |
j |
-16808692944896/12108718261143 |
j-invariant |
L |
3.050569396699 |
L(r)(E,1)/r! |
Ω |
0.38574076190984 |
Real period |
R |
0.051352862186955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43575h1 |
Quadratic twists by: 5 |